A two-dimensional model of pedestrian flow generating pattern formation

Stefan Berres, Ricardo Ruiz Baier, Hartmut Schwandt, Elmer M. Tory

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review


The pedestrian flow at a crossing is modeled by a two-dimensional system of conservation laws with a location-dependent flux function. Different populations moving in different directions are represented by different phases. Numerical simulations show that the hyperbolic-elliptic degenerate type of equation-system leads to spatial segregation if the initial data are chosen inside the elliptic region of the phase space.
Original languageEnglish
Title of host publicationHyperbolic Problems
Subtitle of host publicationTheory, Numericas and Applications
EditorsTatsien Li, Song Jiang
Place of PublicationChina
PublisherHigher Education Press
Number of pages8
ISBN (Electronic)978-981-4417-10-5
ISBN (Print)978-981-4417-07-5, 978-981-4417-06-8
Publication statusPublished - 2012
Externally publishedYes
EventInternational Conference on Hyperbolic Problems 2010: Theory, Numerics and Applications - Beijing, China
Duration: 15 Jun 201019 Jun 2010
Conference number: 13th


ConferenceInternational Conference on Hyperbolic Problems 2010
Abbreviated titleHYP 2010

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